A pension fund manager decides to invest a total of at most $39 million in U.S. treasury bonds paying 4%

annual interest and in mutual funds paying 8% annual interest. He plans to invest at least $5 million in

bonds and at least $10 million in mutual funds. Bonds have an initial fee of $100 per million dollars,

while the fee for mutual funds is $200 per million. The fund manager is allowed to spend no more than

$5000 on fees. How much should be invested in each to maximize annual interest? What is the maximum

annual interest?

How would i set up the max and min and then eventually graph it? and thus solve the problem

Thank you